Question

Edwina and georgia had the same number of bottles.Edwina and georgia had a mix of big bottles and small bottles.Edwina had 5 small bottles while georgi had 16 big bottles.Each small bottles had a a capacity of 400 ml.Each big bottles had a capacity of 600 ml.The total capacity of edwina's bottles was 800 ml more than the total capacity of georgia's bottles

Answer 1

20 big bottles

14000 ml

Explanation:

Let :

Small bottles = x ; big bottles = y

Capacity of small bottle = 400ml

Capacity of big bottle = 600 ml

Edwina :

Number of small bottles = 5

Georgi :

Number of big bottles = 16

Since Numbe of bottles are siad to be the same :

5 + y = 16 + x

y - x = 16 - 5

y - x = 11

y = 11 + x - - - (1)

Total capacity of Edwina's bottle is 800 ml more Than Georgi's total :

Edwina :

5(400) + 600y

Georgi :

400x + 16(600)

2000 + 600y = 800 + 400x + 9600

2000 + 600y = 10400 + 400x

600y - 400x = 10400 - 2000

600y - 400x = 8400 - - - (2)

Substitute y = 11+x for y in (2)

600(11+x) - 400x = 8400

6600 + 600x - 400x = 8400

200x = 8400 - 6600

200x = 1800

x = 1800 / 200

x = 9

Number of big bottles Edwina has :

y = 11 + x

y = 11 + 9

y = 20

Total capacity of Edwina's bottles :

5(400) + 600y

2000 + 600(20) = 2000 + 12000 = 14000 ml